Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум   
blank
Авторизация

       
blank
Поиск по указателям

blank
blank
blank
Красота
blank
Beckermann B., Labahn G. — A Fast and Numerically Stable Euclidean-like Algorithm for Detecting Relatively Prime Numerical Polynomials
Beckermann B., Labahn G. — A Fast and Numerically Stable Euclidean-like Algorithm for Detecting Relatively Prime Numerical Polynomials



Обсудите книгу на научном форуме



Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter


Название: A Fast and Numerically Stable Euclidean-like Algorithm for Detecting Relatively Prime Numerical Polynomials

Авторы: Beckermann B., Labahn G.

Аннотация:

In this paper we provide a taet, numerically stable algorithm to determine when two given polynomials a arid b are relatively prime and remain relatively prime even after small perturbations of their coefficients. Such a problem is important in ninny applications where input data are only available up to a certain precision.
Our method—an extension of the Cabay-Meleshko algorithm for Pade approximation—is typically ли order of magnitude faster than previously known stable methods. As such it may lie used an an inexpensive t.-sl which may lie applied before attempt ing to compute a "numerical GCIJ", in general a much more difficult task. We prove that the algorithm is numerically stable and give experiments verifying the numerical behaviour. Finally, we discuss possible extensions of our approach that can be applied to tin- problem of actually computing a numerical GCD.


Язык: en

Рубрика: Computer science/

Тип: Статья

Статус предметного указателя: Неизвестно

ed2k: ed2k stats

Год издания: 1998

Количество страниц: 24

Добавлена в каталог: 16.04.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
blank
Предметный указатель
blank
Реклама
blank
blank
HR
@Mail.ru
       © Электронная библиотека попечительского совета мехмата МГУ, 2004-2020
Электронная библиотека мехмата МГУ | Valid HTML 4.01! | Valid CSS! О проекте